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Process to find LCM

Posted by mathbro on August 20, 2008

How to find the LCM (Least common multiple) -

Step1 : Factorize all the numbers into their prime factor.

Step2 : Collect all the distinct factors.

Step3 : Raise each factor to its maximum available power and multiply.

Example Find LCM of 10,20,25

Step1 :

10 = 2^1 * 5^1

20 = 2^2 * 5^1

25 = 5^2

Step2 :

2,5

Step3:

2^2 * 5^2 = 100

The biggest advantage of using this method lies in the fact that we can find out the LCM of any number of numbers in a straight line without using the conventional method.

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